冷阱费米子的全息对偶
Holographic dual of Cold Trapped Fermions
摘要：
我们用全息原理研究冷费米子原子。我们注意到，目前的原子实验中，大量的费米子被困在一个谐波势在幺正极限的行为作为无质量的费米子由于Escheras-Fermi近似。将强关联无质量费米子的热力学映射到带电黑洞的热力学，研究了有限温度和密度下强耦合冷费米子的热力学和输运性质。在冷态极限下，荷电黑洞的比热在$T$中是线性的，与维数无关，类似于费米液体。每个粒子的剪切粘度被证明是有限的熵的非零的后果。我们表明，我们的全息结果与目前大多数原子数据相媲美。
英文摘要：
We study cold fermionic atoms using the holographic principle. We note that current atomic experiments with massive fermions trapped in a harmonic potential in the unitarity limit behave as massless fermions thanks to the Thomas-Fermi approximation. We map the thermodynamics of strongly correlated massless fermion to that of the charged black hole and study the thermodynamics and transport properties of cold fermions at strong coupling at finite temperature and density. In cold limit, the specific heat of charged black hole is linear in $T$ independent of the dimensionality, which is reminiscent of Fermi liquids. The shear viscosity per particle is shown to be finite as a consequence of the non-vanishing of the entropy. We show that our holographic results compare favorably with most of the current atomic data.
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